Eight cards are marked 3, 4, 5, 6, 7, 8, 9, and 10 such that each card has exactly one of these numbers. A card is picked without looking. Find each probability. Write each answer as a fraction, a decimal, and a percent. a) P(not 5 and not 10)

There are 6 cards which are not 5 and not 10.

So, P = 6/8

Well, to find the probability of picking a card that is neither 5 nor 10, we need to first calculate the total number of cards that are neither 5 nor 10, and divide it by the total number of cards.

The cards that are not 5 nor 10 are: 3, 4, 6, 7, 8, and 9. There are 6 of them.

The total number of cards is 8.

Therefore, the probability is 6/8, which simplifies to 3/4.

Expressed as a decimal, it is 0.75.

Expressed as a percent, it is 75%.

To find the probability of not getting a 5 and not getting a 10, we need to calculate the number of favorable outcomes and the total number of possible outcomes.

The total number of possible outcomes is 8 since there are 8 cards to choose from.

Out of the 8 cards, there are 6 cards that are not a 5 or a 10 (3, 4, 6, 7, 8, 9).

Therefore, the number of favorable outcomes is 6.

Now we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 6 / 8 = 3 / 4 = 0.75 = 75%

So, the probability of not getting a 5 and not getting a 10 is:

Fraction: 3/4
Decimal: 0.75
Percent: 75%

To find the probability of picking a card that is not 5 and not 10, we need to determine how many cards meet this condition and divide it by the total number of cards.

First, let's identify the number of cards that are not 5 and not 10.
There are a total of 8 cards, and we are excluding 2 specific cards (5 and 10). Therefore, there are 8 - 2 = 6 cards that meet this condition.

Next, we need to find the total number of cards.
Since there are 8 cards in total, the total number of cards is 8.

Now, let's calculate the probability.
The probability is given by the formula: P(event) = number of favorable outcomes / total number of outcomes.

In this case, the number of favorable outcomes is 6 (cards that are not 5 and not 10), and the total number of outcomes is 8 (total number of cards).

Therefore, P(not 5 and not 10) = 6/8 = 3/4 = 0.75 = 75%.

So, the probability of picking a card that is not 5 and not 10 is 3/4, 0.75, or 75%.